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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 3, Pages 30–41 (Mi pmtf1174)  
This article is cited in 3 scientific papers (total in 3 papers)

Unsteady motion of an elliptic cylinder under a free surface

N. I. Makarenkoab, V. K. Kostikovab

a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (293 kB) Citations (3)
Abstract: A problem of generation of nonlinear unsteady waves on the surface of an ideal liquid in an infinitely deep fluid due to the motion of a submerged elliptic cylinder is considered. The initial formulation of the problem is reduced to an integrodifferential system of equations for the function defining the free surface shape and for the normal and tangential components of velocity on the free surface. The small-time asymptotics of the solution is constructed for the case of cylinder motion with a constant acceleration from the state at rest.
Keywords: free surface, elliptic cylinder, nonlinear unsteady waves, small-time asymptotics of motion.
Received: 23.10.2012
Revised: 20.11.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2013, Volume 54, Issue 3, Pages 367–376
DOI: https://doi.org/10.1134/S0021894413030048
Bibliographic databases:
Document Type: Article
UDC: 532.592
Language: Russian
Citation: N. I. Makarenko, V. K. Kostikov, “Unsteady motion of an elliptic cylinder under a free surface”, Prikl. Mekh. Tekh. Fiz., 54:3 (2013), 30–41; J. Appl. Mech. Tech. Phys., 54:3 (2013), 367–376
Citation in format AMSBIB
\Bibitem{MakKos13}
\by N.~I.~Makarenko, V.~K.~Kostikov
\paper Unsteady motion of an elliptic cylinder under a free surface
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 3
\pages 30--41
\mathnet{http://mi.mathnet.ru/pmtf1174}
\elib{https://elibrary.ru/item.asp?id=19413781}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 3
\pages 367--376
\crossref{https://doi.org/10.1134/S0021894413030048}
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  • https://www.mathnet.ru/eng/pmtf/v54/i3/p30
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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